$\text { Solve the differential equation } y ^ { t } = \frac { \sqrt { x } } { 2 y } \text {. }$

question 28

Multiple Choice

$\text { Solve the differential equation } y ^ { t } = \frac { \sqrt { x } } { 2 y } \text {. }$

• A)\(2 y ^ { 2 } = 4 x ^ { \frac { 3 } { 2 } } + C\)
• B)\(6 y ^ { 2 } = 4 x ^ { \frac { 3 } { 2 } } + C\)
• C) \(6 y ^ { 2 } = 2 x ^ { \frac { 3 } { 2 } } + C\)
• D)\(4 y ^ { 2 } = 6 x ^ { \frac { 3 } { 2 } } + C\)
• E)\(4 y ^ { 2 } = 2 x ^ { \frac { 3 } { 2 } } + C\)

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Definitions:

History Effect

refers to the impact that events occurring between the first and second measurements in an experiment have on the subjects' performance, independent of the experimental manipulation.

Regression Toward the Mean

A statistical phenomenon where extreme scores on a variable tend to be closer to the mean upon subsequent measurements.

One-group Pretest-posttest Design

An experimental design where a single group of participants is tested before and after an intervention to assess its effect.

Extreme Scores

Extreme scores refer to the most unusually high or low values in a data set, which can significantly influence statistical analyses and interpretations.